FIELD
[0001] One or more aspects of embodiments according to the present invention relate to serial
data transmission, and more particularly to a system and method for setting the gain
of an analog front end in a serial receiver.
BACKGROUND
[0002] A high-speed serial link may include a transmitter, a channel, and a receiver. The
receiver may include an analog front end (AFE) that feeds one or more clocked comparators
or "slicers" in the receiver. The AFE may provide gain and frequency response adjustments
of the signal received over the channel.
[0003] Variations in manufacturing processes may result in significant variations in AFE
gain from chip to chip, which, if not corrected, may result in saturation of the circuits
following the AFE, and bit errors in the serial link.
[0004] Thus, there is a need for a system and method for setting the gain of an AFE circuit.
SUMMARY
[0005] Aspects of embodiments of the present invention are directed toward a system and
method for setting the gain of an analog front end in a serial receiver.
[0006] According to an embodiment of the present invention there is provided a receiver
for a serial link, the receiver having an analog input and including: a first analog
front end connected to the analog input and having an output and an adjustable DC
gain; a data slicer connected to the output of the analog front end; an error slicer
connected to the output of the analog front end; and a first processor unit connected
to the data slicer and the error slicer and configured to iteratively: adjust the
DC gain; and estimate a zeroth channel tap value, until the zeroth tap value falls
into a set range of values, wherein the estimating of the zeroth channel tap value
includes iteratively updating an estimated zeroth channel tap value according to the
equation: h0(n+1) = hO (n)+mu*Error*Data, wherein: h0(n+1) is an updated estimate
of the zeroth channel tap value; h0(n) is a previous estimate of the zeroth channel
tap value; mu is a constant; Data is the sign of a most recently received data bit;
Error is the sign of: y - h0(n) when Data is 1, and y + h0(n) when Data is 0; and
y is an analog signal at the output of the analog front end.
[0007] In one embodiment, the iterative adjusting of the DC gain includes initializing the
DC gain to a first value, and increasing the DC gain with each iteration.
[0008] In one embodiment, the increasing the DC gain with each iteration includes increasing
the DC gain by a set increment.
[0009] In one embodiment, the first value is sufficiently small to avoid saturation of the
receiver.
[0010] In one embodiment, the iterative adjusting of the DC gain includes initializing the
DC gain to a first value, and decreasing the DC gain in fixed increments.
[0011] In one embodiment, the iterative adjusting of the DC gain further includes, after
the estimated zeroth channel tap value falls below a first threshold, increasing the
DC gain by a fixed increment.
[0012] According to an embodiment of the present invention there is provided a display including:
a transmitter; and a receiver connected to the transmitter, the receiver having an
analog input including: a first analog front end connected to the analog input and
having an output and an adjustable DC gain; a data slicer connected to the output
of the analog front end; an error slicer connected to the output of the analog front
end; and a first processor unit connected to the data slicer and the error slicer
and configured to iteratively: adjust the DC gain; and estimate a zeroth channel tap
value, until the zeroth tap value falls into a set range of values, wherein the estimating
of the zeroth channel tap value includes iteratively updating an estimated zeroth
channel tap value according to the equation: h0(n+1) = hO (n)+mu*Error*Data, wherein:
h0(n+1) is an updated estimate of the zeroth channel tap value; h0(n) is a previous
estimate of the zeroth channel tap value; mu is a constant; Data is the sign of a
most recently received data bit; Error is the sign of: y - hO(n) when Data is 1, and
y + h0(n) when Data is 0; and y is an analog signal at the output of the analog front
end.
[0013] In one embodiment, the iterative adjusting of the DC gain includes initializing the
DC gain to a first value, and increasing the DC gain with each iteration.
[0014] In one embodiment, the increasing the DC gain with each iteration includes increasing
the DC gain by a set increment.
[0015] In one embodiment, the first value is sufficiently small to avoid saturation of the
receiver.
[0016] In one embodiment, the iterative adjusting of the DC gain includes initializing the
DC gain to a first value, and decreasing the DC gain in fixed increments.
[0017] In one embodiment, the iterative adjusting of the DC gain further includes, after
the estimated zeroth channel tap value falls below a first threshold, increasing the
DC gain by a fixed increment.
[0018] In one embodiment, the display includes alternating binary ones and zeros.
[0019] According to an embodiment of the present invention there is provided a method of
initializing a serial link including a transmitter and a receiver connected to the
transmitter, the receiver having an analog input and including: a first analog front
end connected to the analog input and having an output and an adjustable DC gain;
a data slicer connected to the output of the analog front end; and an error slicer
connected to the output of the analog front end; the method including: iteratively:
adjusting the DC gain; and estimating a zeroth channel tap value, until the zeroth
tap value falls into a set range of values, wherein the estimating of the zeroth channel
tap value includes iteratively updating an estimated zeroth channel tap value according
to the equation: h0(n+1) = hO (n)+mu*Error*Data, wherein: h0(n+1) is an updated estimate
of the zeroth channel tap value; h0(n) is a previous estimate of the zeroth channel
tap value; mu is a constant; Data is the sign of a most recently received data bit;
Error is the sign of: y - h0(n) when Data is 1, and y + h0(n) when Data is 0; and
y is an analog signal at the output of the analog front end.
[0020] In one embodiment, the iterative adjusting of the DC gain includes initializing the
DC gain to a first value, and increasing the DC gain with each iteration.
[0021] In one embodiment, the increasing the DC gain with each iteration includes increasing
the DC gain by a set increment.
[0022] In one embodiment, the first value is sufficiently small to avoid saturation of the
receiver.
[0023] In one embodiment, the iterative adjusting of the DC gain includes initializing the
DC gain to a first value, and decreasing the DC gain in fixed increments.
[0024] In one embodiment, the iterative adjusting of the DC gain further includes, after
the estimated zeroth channel tap value falls below a first threshold, increasing the
DC gain by a fixed increment.
[0025] In one embodiment, the method includes: transmitting, by the transmitter, during
the estimating of the zeroth channel tap value, a signal including alternating binary
ones and zeros.
[0026] At least some of the above and other features of the invention are set out in the
claims.
BRIEF DESCRIPTION OF THE DRAWINGS
[0027] These and other features and advantages of the present invention will be appreciated
and understood with reference to the specification, claims, and appended drawings
wherein:
FIG. 1 is a block diagram of a serial link, according to an embodiment of the present
invention;
FIG. 2 is a hybrid eye-block diagram of a system for estimating a zeroth channel tap,
according to an embodiment of the present invention;
FIG. 3A is a block diagram of a receiver with decision feedback equalization, according
to an embodiment of the present invention;
FIG. 3B is a block diagram of a system for estimating a zeroth channel tap, according
to an embodiment of the present invention;
FIG. 4 is a flow chart of a method for adjusting an analog front end gain in a serial
link, according to an embodiment of the present invention;
FIG. 5 is a flow chart of a method for adjusting an analog front end gain in a serial
link, according to another embodiment of the present invention; and
FIG. 6 is a block diagram of a display, according to an embodiment of the present
invention.
DETAILED DESCRIPTION
[0028] The detailed description set forth below in connection with the appended drawings
is intended as a description of embodiments of a system and method for setting analog
front end DC gain provided in accordance with the present invention and is not intended
to represent the only forms in which the present invention may be constructed or utilized.
The description sets forth the features of the present invention in connection with
the illustrated embodiments. It is to be understood, however, that the same or equivalent
functions and structures may be accomplished by different embodiments that are also
intended to be encompassed within the scope of the invention. As denoted elsewhere
herein, like element numbers are intended to indicate like elements or features.
[0029] Referring to FIG. 1, in one embodiment of the invention a serial data link may include
a transmitter, a channel, and a receiver. The transmitter may drive the channel with
an output that switches between two states, one state representing binary 0 and one
representing binary 1. The channel may be a conductor or a plurality of conductors.
The channel may include, for example, a single conductor (e.g., over a ground plane)
or it may include two conductors (e.g., a driven conductor and a separate ground conductor),
or it may include two driven conductors (e.g., two conductors driven with a differential
signal), or three conductors including two driven conductors (e.g., two conductors
driven with a differential signal) and a ground conductor.
[0030] The channel may have characteristics, such as frequency-dependent loss, or phase
dispersion, that may result in inter-symbol interference (ISI), and errors in the
received data if measures are not taken to compensate. For example, the receiver may
include an analog front end (AFE) that may include an amplifier and a continuous-time
linear equalizer (CTLE) for compensating for the loss in the channel, and to equalize
the response of the channel. The AFE may have a gain (or "AFE DC gain") that is adjustable.
A high value of AFE gain may result in saturation in the receiver, which may cause
errors in the received data. A low value of the AFE gain may result in receiver noise
being significant relative to the signal; this may also cause errors in the received
data. During operation, the AFE DC gain may be set to a value within a range of gain
values within which receiver saturation is avoided, and within which the received
signal is large compared to receiver noise.
[0031] The channel and AFE may be represented by a model composed of (e.g., consisting of)
a number of "channel taps" h
0, h
1, h
2, etc., each of which is a coefficient in the discrete-time pulse response of the
channel and the AFE. To simplify the terminology, as used herein, a "channel tap"
represents the characteristics of the cascade of the channel and the AFE. The zeroth
tap value h
0 may indicate (e.g., it may be proportional to) the amplitude of the received signal,
at the output of the AFE.
[0032] Referring to FIG. 2, in one embodiment, a circuit and/or algorithm estimates the
zeroth tap value and adjusts the AFE gain until the zeroth tap value (and the amplitude
of the received signal, at the output of the AFE) is within a set or predetermined
range. The output of the AFE is connected to a data slicer and an error slicer. At
each clock edge, the data slicer compares the value of the analog signal y (i.e.,
the output of the AFE) to 0, and outputs a binary 1 if the analog signal is greater
than 0, and a binary 0 if the analog signal is less than or equal to 0. An error slicer
compares the value of the analog signal y to the current estimated value of h
0, and outputs a binary 1 if the analog signal is greater than h
0, and a binary 0 if the analog signal is less than or equal to h
0. An adaptation algorithm then updates the estimated value of h
0, using the equation

[0033] where Error and Data are the outputs of the error and data slicers, respectively,
and where, as will be understood by one of skill in the art, a binary 0 maps into
an arithmetic value of -1 for the purpose of evaluating the adaptation algorithm equation
(Equation (1)). The binary value "0" and the corresponding arithmetic value "-1" are
used interchangeably herein to denote a signal having a binary zero value. In Equations
(1) (above) and (2) (below), for example, the arithmetic values of the variables "Error"
and "Data" are used. The iterative updating of the estimated value of h
0 may be performed at the clock rate of the received data, or at a lower rate, e.g.,
to conserve power. In Equation (1), mu is a constant that may be selected to achieve
an acceptable convergence rate and acceptable stability.
[0034] Referring to FIG. 3A, in one embodiment, a receiver with decision feedback equalization
(DFE) may employ a method referred to as sign-sign LMS adaptation. The sign-sign LMS
algorithm for adaptation is as follows:

where [h
0 h
1 h
2](n+1) is the vector of estimated tap values at the (n+1)
th iteration, mu is a constant step size, and "error
k" is the difference between the received signal y
k and the reconstructed signal [x
k x
k-1 x
k-2]•[h
0 h
1 h
2](n) (where "•"represents the dot product, i.e., the sum of the element-by-element
products). In Equation (2) the index n identifies the iteration of the adaptation
algorithm, and the index k identifies the time step, in increments of the serial data
unit interval. The symbols h
0, h
1, and h
2 are used to represent both the true channel taps and the SS LMS estimates for the
channel taps. As used herein, the sign function is equal to +1 when its input is a
binary 1 or an analog value greater than zero, and it is equal to -1 when its input
is a binary 0 or an analog value less than zero.
[0035] In the embodiment of FIG. 3A, a correction circuit adds a DFE correction signal 315
(equal to x
k-1 * h
1 + x
k-2 * h
2) to the input signal y to mitigate ISI (or, equivalently, subtracts an opposite correction
signal from the input signal y). The most recent data value is determined by a data
slicer (or "sampler" or "clocked comparator") 320. Two error samplers 325, 330 compare
the corrected input signal to h
0 and h
0 respectively. The sign e
k of the error term Error
k (i.e., e
k = sign(Error
k)) is formed at the output of the multiplexer 335. The estimate h
0 of the zeroth channel tap, and the post-cursor DFE taps h
1 and h
2 are iteratively updated by a processor unit executing a sign-sign least mean squares
(SS LMS) algorithm.
[0036] Referring to FIG. 3B, in one embodiment a generalized form of the embodiment of FIG.
2 may be implemented by disabling the DFE of the embodiment of FIG. 3A. The first
error slicer 325 acts as described for the error slicer of the embodiment of FIG.
2. The second error slicer generalizes this behavior to take into account samples
for which the data value is binary 0 (arithmetic -1). The multiplexer 335 then selects
either (i) the output of the first error slicer 325 if the data value is 1, or (ii)
the output of the second error slicer 330 if the data value is 0 (arithmetic -1).
As such, this combination calculates the term Error (labelled e
k in FIG. 3B) of the adaptation algorithm, which is equal to the sign of (y - h
0(n)) when Data is 1, and the sign of (y + h
0(n)) when Data is 1. The sign-sign least mean square (SS LMS) block 340 then executes
the adaptation algorithm equation (Equation (1)), and updates the estimate of h
0 with the result.
[0037] In the embodiment of FIG. 3B, disabling all taps except the zeroth tap may result
in power savings, and may increase the likelihood of the algorithm converging. In
some embodiments the channel tap values for these other taps (other than the zeroth
tap) are not estimated during the process of setting the AFE gain, and the DFE connections
(that during operation may provide corrections corresponding to tap values other than
the zeroth tap value) are disconnected during the process of setting the AFE gain.
In some embodiments the process of setting the AFE gain is performed while random
data are received by the receiver; in other embodiments the transmitter is configured
to transmit a half-rate clock (i.e., a data stream composed of (e.g., consisting of)
alternating ones and zeros) on the channel during the process of setting the AFE gain.
[0038] Referring to FIG. 4, in one embodiment a method for setting the DC gain of an AFE
includes, in an act 410, initializing the AFE gain to a first value, e.g., to a sufficiently
low value that the receiver does not saturate. In an act 415, DFE tap estimation is
performed, e.g., using the algorithm of Equation (1), over a number of iterations.
In an act 420, the estimated value of h
0 is tested against a threshold; if the estimated value of h
0 is less than the threshold, the AFE gain is increased, in an act 425, by a set or
fixed amount or increment ("AFE_step") and execution loops back to act 415; if the
estimated value of h
0 is not less than the threshold, the process terminates, in an act 445, and the AFE
gain remains set to the current value during operation of the receiver.
[0039] Referring to FIG. 5, in another embodiment the AFE gain is initially set to a first
value (which may be a large value) in an act 520, which follows locking (act 510)
of the clock and data recovery (CDR) circuit and start (act 515) of the AFE gain calibration
process (ACAL). In an act 525, DFE tap estimation is performed (in a process referred
to as ECAL), e.g., using the algorithm of Equation (1), over a number of iterations.
In an act 530, the estimated value of h
0 is determined (as the result of the process of act 525). In an act 535, the estimated
value of h
0 is tested against a first, higher threshold ("TH_high"); if the estimated value of
h
0 is greater than the first threshold, the AFE gain is decreased, in an act 540, by
one step (e.g., by a set or fixed amount or increment) and execution loops back to
act 525. If the estimated value of h
0 is not greater than the first threshold, then, in an act 545, the estimated value
of h
0 is tested against a second, lower threshold ("TH_low"); if the estimated value of
h
0 is greater than the second threshold, the process terminates, in an act 555, and
the AFE gain remains set to the current value during operation of the receiver. If
in the act 545 it is determined that the estimated value of h
0 is greater than the second threshold, the AFE gain is increased, in an act 550, by
one step (e.g., by a set or fixed amount or increment), and the process terminates,
in an act 555, and the AFE gain remains set to the current value during operation
of the receiver.
[0040] Referring to FIG. 6, in one embodiment, a display 705 contains a timing controller
710 including a serial transmitter 712 configured to send high-speed digital data
to a serial receiver 714 in a driver integrated circuit (driver IC) 715, over a non-ideal
(e.g., lossy) channel 720. The receiver 714 includes an AFE with an adjustable DC
gain. The receiver 714 includes a system for setting the DC gain of the AFE according
to an embodiment of the present invention. Here, in embodiments of the present invention,
the display is an organic light emitting diode (OLED) display or a liquid crystal
display (LCD).
[0041] It will be understood that, although the terms "first", "second", "third", etc.,
may be used herein to describe various elements, components, regions, layers and/or
sections, these elements, components, regions, layers and/or sections should not be
limited by these terms. These terms are only used to distinguish one element, component,
region, layer or section from another element, component, region, layer or section.
Thus, a first element, component, region, layer or section discussed below could be
termed a second element, component, region, layer or section, without departing from
the spirit and scope of the inventive concept.
[0042] Spatially relative terms, such as "beneath", "below", "lower", "under", "above",
"upper" and the like, may be used herein for ease of description to describe one element
or feature's relationship to another element(s) or feature(s) as illustrated in the
figures. It will be understood that such spatially relative terms are intended to
encompass different orientations of the device in use or in operation, in addition
to the orientation depicted in the figures. For example, if the device in the figures
is turned over, elements described as "below" or "beneath" or "under" other elements
or features would then be oriented "above" the other elements or features. Thus, the
example terms "below" and "under" can encompass both an orientation of above and below.
The device may be otherwise oriented (e.g., rotated 90 degrees or at other orientations)
and the spatially relative descriptors used herein should be interpreted accordingly.
In addition, it will also be understood that when a layer is referred to as being
"between" two layers, it can be the only layer between the two layers, or one or more
intervening layers may also be present.
[0043] The terminology used herein is for the purpose of describing particular embodiments
only and is not intended to be limiting of the inventive concept. As used herein,
the terms "substantially," "about," and similar terms are used as terms of approximation
and not as terms of degree, and are intended to account for the inherent deviations
in measured or calculated values that would be recognized by those of ordinary skill
in the art. As used herein, the term "major component" means a component constituting
at least half, by weight, of a composition, and the term "major portion", when applied
to a plurality of items, means at least half of the items.
[0044] As used herein, the singular forms "a", "an" and "the" are intended to include the
plural forms as well, unless the context clearly indicates otherwise. It will be further
understood that the terms "comprises" and/or "comprising", when used in this specification,
specify the presence of stated features, integers, steps, operations, elements, and/or
components, but do not preclude the presence or addition of one or more other features,
integers, steps, operations, elements, components, and/or groups thereof. As used
herein, the term "and/or" includes any and all combinations of one or more of the
associated listed items. Expressions such as "at least one of," when preceding a list
of elements, modify the entire list of elements and do not modify the individual elements
of the list. Further, the use of "may" when describing embodiments of the inventive
concept refers to "one or more embodiments of the present invention". Also, the term
"exemplary" is intended to refer to an example or illustration. As used herein, the
terms "use," "using," and "used" may be considered synonymous with the terms "utilize,"
"utilizing," and "utilized," respectively.
[0045] It will be understood that when an element or layer is referred to as being "on",
"connected to", "coupled to", or "adjacent to" another element or layer, it may be
directly on, connected to, coupled to, or adjacent to the other element or layer,
or one or more intervening elements or layers may be present. In contrast, when an
element or layer is referred to as being "directly on", "directly connected to", "directly
coupled to", or "immediately adjacent to" another element or layer, there are no intervening
elements or layers present.
[0046] Any numerical range recited herein is intended to include all sub-ranges of the same
numerical precision subsumed within the recited range. For example, a range of "1.0
to 10.0" is intended to include all subranges between (and including) the recited
minimum value of 1.0 and the recited maximum value of 10.0, that is, having a minimum
value equal to or greater than 1.0 and a maximum value equal to or less than 10.0,
such as, for example, 2.4 to 7.6. Any maximum numerical limitation recited herein
is intended to include all lower numerical limitations subsumed therein and any minimum
numerical limitation recited in this specification is intended to include all higher
numerical limitations subsumed therein.
[0047] The system and method for setting analog front end DC gain and/or any other relevant
devices or components according to embodiments of the present invention described
herein may be implemented utilizing any suitable hardware, firmware (e.g. an application-specific
integrated circuit), software, or a combination of software, firmware, and hardware.
For example, the various components of the system and method for setting analog front
end DC gain may be formed on one integrated circuit (IC) chip or on separate IC chips.
Further, the various components of the system and method for setting analog front
end DC gain may be implemented on a flexible printed circuit film, a tape carrier
package (TCP), a printed circuit board (PCB), or formed on one substrate. Further,
the various components of the system and method for setting analog front end DC gain
may be may be a process or thread, running on one or more processors, in one or more
computing devices, executing computer program instructions and interacting with other
system components for performing the various functionalities described herein. The
computer program instructions are stored in a memory which may be implemented in a
computing device using a standard memory device, such as, for example, a random access
memory (RAM). The computer program instructions may also be stored in other non-transitory
computer readable media such as, for example, a CD-ROM, flash drive, or the like.
Also, a person of skill in the art should recognize that the functionality of various
computing devices may be combined or integrated into a single computing device, or
the functionality of a particular computing device may be distributed across one or
more other computing devices without departing from the scope of the exemplary embodiments
of the present invention.
[0048] The term "processor unit" is used herein to include any combination of hardware,
firmware, and software, employed to process data or digital signals. Processor unit
hardware may include, for example, application specific integrated circuits (ASICs),
general purpose or special purpose central processor units (CPUs), digital signal
processors (DSPs), graphics processor units (GPUs), and programmable logic devices
such as field programmable gate arrays (FPGAs). In a processor unit, as used herein,
each function is performed either by hardware configured, i.e., hardwired, to perform
that function, or by more general purpose hardware, such as a CPU, configured to execute
instructions stored in a non-transitory storage medium. A processor unit may be fabricated
on a single printed circuit board (PCB) or distributed over several interconnected
PCBs. A processor unit may contain other processor units; for example a processor
unit may include two processor units, an FPGA and a CPU, interconnected on a PCB.
[0049] Although embodiments of a system and method for setting analog front end DC gain
have been specifically described and illustrated herein, many modifications and variations
will be apparent to those skilled in the art. Accordingly, it is to be understood
that a system and method for setting analog front end DC gain constructed according
to principles of this invention may be embodied other than as specifically described
herein. The invention is also defined in the following claims, and equivalents thereof.
1. A receiver for a serial link, the receiver having an analog input and comprising:
a first analog front end connected to the analog input and having an output and an
adjustable DC gain;
a data slicer connected to the output of the analog front end;
an error slicer connected to the output of the analog front end; and
a first processor unit connected to the data slicer and the error slicer and configured
to iteratively:
adjust the DC gain; and
estimate a zeroth channel tap value,
until the zeroth tap value falls into a set range of values,
wherein the estimating of the zeroth channel tap value comprises iteratively updating
an estimated zeroth channel tap value according to the equation:

wherein:
h0(n+1) is an updated estimate of the zeroth channel tap value;
h0(n) is a previous estimate of the zeroth channel tap value;
mu is a constant;
Data is the sign of a most recently received data bit;
Error is the sign of:
y - h0(n) when Data is 1, and
y + h0(n) when Data is 0; and
y is an analog signal at the output of the analog front end.
2. A receiver according to claim 1, wherein the iterative adjusting of the DC gain comprises
initializing the DC gain to a first value, and increasing the DC gain with each iteration.
3. A receiver according to claim 2, wherein the increasing the DC gain with each iteration
comprises increasing the DC gain by a set increment.
4. A receiver according to claim 2 or 3, wherein the first value is sufficiently small
to avoid saturation of the receiver.
5. A receiver according to claim 1, wherein the iterative adjusting of the DC gain comprises
initializing the DC gain to a first value, and decreasing the DC gain in fixed increments.
6. A receiver according to claim 5, wherein the iterative adjusting of the DC gain further
comprises, after the estimated zeroth channel tap value falls below a first threshold,
increasing the DC gain by a fixed increment.
7. A display comprising:
a transmitter; and
a receiver connected to the transmitter, the receiver being as set out in any preceding
claim.
8. A display according to claim 7, wherein the transmitter is configured to transmit,
during the estimating of the zeroth channel tap value, a signal comprising alternating
binary ones and zeros.
9. A method of initializing a serial link comprising a transmitter and a receiver connected
to the transmitter, the receiver having an analog input and comprising:
a first analog front end connected to the analog input and having an output and an
adjustable DC gain;
a data slicer connected to the output of the analog front end; and
an error slicer connected to the output of the analog front end;
the method comprising:
iteratively:
adjusting the DC gain; and
estimating a zeroth channel tap value,
until the zeroth tap value falls into a set range of values,
wherein the estimating of the zeroth channel tap value comprises iteratively updating
an estimated zeroth channel tap value according to the equation:

wherein:
h0(n+1) is an updated estimate of the zeroth channel tap value;
h0(n) is a previous estimate of the zeroth channel tap value;
mu is a constant;
Data is the sign of a most recently received data bit;
Error is the sign of:
y - h0(n) when Data is 1, and
y + h0(n) when Data is 0; and
y is an analog signal at the output of the analog front end.
10. A method according to claim 9, wherein the iterative adjusting of the DC gain comprises
initializing the DC gain to a first value, and increasing the DC gain with each iteration.
11. A method according to claim 10, wherein the increasing the DC gain with each iteration
comprises increasing the DC gain by a set increment.
12. A method according to claim 10 or 11, wherein the first value is sufficiently small
to avoid saturation of the receiver.
13. A method according to claim 9, wherein the iterative adjusting of the DC gain comprises
initializing the DC gain to a first value, and decreasing the DC gain in fixed increments.
14. A method according to claim 13, wherein the iterative adjusting of the DC gain further
comprises, after the estimated zeroth channel tap value falls below a first threshold,
increasing the DC gain by a fixed increment.
15. A method according to claim 9, further comprising:
transmitting, by the transmitter, during the estimating of the zeroth channel tap
value, a signal comprising alternating binary ones and zeros.